Parabolic triangles, poles and centroid relations

We investigate affine properties of centroids formed by three points on a parabola together with the polar triangle formed from the tangents. And we make a wide ranging conjecture about the extension of these results to general conics.

Permalink: http://skupnikatalog.nsk.hr/Record/nsk.NSK01001128694/Details
Matična publikacija: Kog (Online)
(2020), 24 ; str. 3-11
Glavni autori: Choi, Si Chun (Author), Wildberger, Norman John
Vrsta građe: e-članak
Jezik: eng
Predmet:
Online pristup: https://doi.org/10.31896/k.24.1
Hrčak
LEADER 01536naa a22003614i 4500
001 NSK01001128694
003 HR-ZaNSK
005 20220224144141.0
006 m d
007 cr||||||||||||
008 220221s2020 ci a |o |0|| ||eng
024 7 |2 doi  |a 10.31896/k.24.1 
035 |a (HR-ZaNSK)001128694 
040 |a HR-ZaNSK  |b hrv  |c HR-ZaNSK  |e ppiak 
041 0 |a eng  |b hrv 
042 |a croatica 
044 |a ci  |c hr 
080 1 |a 51  |2 2011 
100 1 |a Choi, Si Chun  |4 aut  |9 HR-ZaNSK 
245 1 0 |a Parabolic triangles, poles and centroid relations  |h [Elektronička građa] /  |c Si Chun Choi, Norman J. Wildberger. 
300 |b Ilustr. 
504 |a Bibliografija: 8 jed. 
504 |a Abstract ; Sažetak. 
520 |a We investigate affine properties of centroids formed by three points on a parabola together with the polar triangle formed from the tangents. And we make a wide ranging conjecture about the extension of these results to general conics. 
520 |a Istražujemo afina svojstva težištata koja određuju tri točke na paraboli i vrhovi njihovog polarnog trokuta. Donosimo pretpostavku o proširenju dobivenih rezultata na sve konike. 
653 0 |a Afina geometrija  |a Parabola  |a Težište  |a Konike 
700 1 |a Wildberger, Norman John  |4 aut 
773 0 |t Kog (Online)  |x 1846-4068  |g (2020), 24 ; str. 3-11  |w nsk.(HR-ZaNSK)000628952 
981 |b Be2020  |b B04/20 
998 |b tino2202 
856 4 0 |u https://doi.org/10.31896/k.24.1 
856 4 0 |u https://hrcak.srce.hr/248408  |y Hrčak 
856 4 1 |y Digitalna.nsk.hr